63887760 has 120 divisors (see below), whose sum is σ = 217184760. Its totient is φ = 16828416.

The previous prime is 63887753. The next prime is 63887777. The reversal of 63887760 is 6778836.

63887760 is a `hidden beast` number, since 638 + 8 + 7 + 7 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7817616 + 56070144 = 2796^2 + 7488^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63582 + ... + 64578.

It is an arithmetic number, because the mean of its divisors is an integer number (1809873).

Almost surely, 2^63887760 is an apocalyptic number.

63887760 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63887760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108592380).

63887760 is an abundant number, since it is smaller than the sum of its proper divisors (153297000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

63887760 is a wasteful number, since it uses less digits than its factorization.

63887760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 63887760 is about 7992.9819216610. The cubic root of 63887760 is about 399.7660298383.

The spelling of 63887760 in words is "sixty-three million, eight hundred eighty-seven thousand, seven hundred sixty".